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Finding the Fourth Proportional to 2,805.66, 4,189.03 and 2,415.24

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Solution

The fourth proportional to 2,805.66, 4,189.03 and 2,415.24 is: 3,606.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.66 : 4,189.03 = 2,415.24 : x
  2. Step 2: Convert to fraction form
    2,805.66/4,189.03 = 2,415.24/x
  3. Step 3: Cross multiply
    2,805.66x = 4,189.03 × 2,415.24
  4. Step 4: Simplify right side
    2,805.66x = 10,117,506.78
  5. Step 5: Solve for x
    x = 10,117,506.78/2,805.66
  6. Step 6: Final answer
    x = 3,606.11

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.